Existence of solutions for multi-point nonlinear differential equations of fractional orders with integral boundary conditions

In this article, we study the multi-point boundary-value problem of nonlinear fractional differential equation $$displaylines{ D^alpha_{0+}u(t)=f(t,u(t)),quad 1<alphaleq 2,; tin[0,T],; T>0,cr I_{0+}^{2-alpha}u(t)|_{t=0}=0,quad D_{0+}^{alpha-2}u(T)=sum_{i=1}^ma_i I_{0+}^{alpha-1}u(xi_i...

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Bibliographic Details
Main Authors: Gang Wang, Wenbin Liu, Can Ren
Format: Article
Language:English
Published: Texas State University 2012-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/54/abstr.html